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netineya [11]
4 years ago
11

What is the product of 4x4y2 and 5y4?

Mathematics
1 answer:
Inessa05 [86]4 years ago
8 0

Answer:

20x^{4}y^{6}

Step-by-step explanation:

using the law of exponents

a^{m} × a^{n} = a^{(m+n)}

4x^{4}y^{2} × 5y^{4}

= (4 × 5 ) × x^{4} × y^{(2+4)}

= 20x^{4}y^{6}


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A manufacturer produces piston rings for an automobile engine. It is known that ring diameter is normally distributed with σ=0.0
oksian1 [2.3K]
<h2>Answer with explanation:</h2>

The confidence interval for population mean is given by :-

\overline{x}\pm z^* SE                   (1)

, where \overline{x} = sample mean

z* = critical value.

SE = standard error

and SE=\dfrac{\sigma}{\sqrt{n}} , \sigma = population standard deviation.

n= sample size.

As per given , we have

\overline{x}=74.021

\sigma=0.001

n= 15

It is known that ring diameter is normally distributed.

SE=\dfrac{0.001}{\sqrt{15}}=0.000258198889747\approx0.000258199

By z-table ,

The critical value for 95% confidence  = z*= 1.96

A 99% two-sided confidence interval on the true mean piston diameter :

74.021\pm (2.576) (0.000258199)     (using (1))

74.021\pm 0.000665120624

74.021\pm 0.000665120624\\\\=(74.021- 0.000665120624,\ 74.021+ 0.000665120624)\\\\=(74.0203348794,\ 74.0216651206)\approx(74.020,\ 74.022)  [Rounded to three decimal places]

∴  A 99% two-sided confidence interval on the true mean piston diameter  = (74.020, 74.022)

By z-table ,

The critical value for 95% confidence  = z*= 1.96

A 95% lower confidence bound on the true mean piston diameter:

74.021- (1.96) (0.000258199)    (using (1))

74.021- 0.00050607004=74.02049393\approx74.020 [Rounded to three decimal places]

∴  A 95% lower confidence bound on the true mean piston diameter= 74.020

7 0
3 years ago
What is a geometric sequence and arithmetic sequence?<br><br> ~MUST EXPLAIN~
Vadim26 [7]
A geometric sequence is one that involves addition or subtraction. One example would be "In an auditorium, the 1st row has 25 seats. The 2nd has 30. The 3rd has 35. How many does the 4th have? Take the formula, x + 5. All you do is simply add 5. 

An arithmetic sequence is one that involves multiplication or division. For example, "Jon receives 5 dollars each week. If he waits for 5 months, how much money will he have? Honestly, all you have to do is think about the formula. x * 5. x would be the number of weeks. 

I know my answer is not as good as the verified one, but it is simpler and easier to understand. I apologize if it isn't good enough. 
6 0
3 years ago
Given (0,1) and (2, 4). The slope between the two points is ...The equation of the line through the two points is
liubo4ka [24]

Answer:

3/2

Step-by-step explanation:

because the equations y 2 - y 1 over x 2 - x 1 is 4-1 over 2-0 and that is 3/2

3 0
3 years ago
Please help giving best answer brainiest!!!!!!!!!!!!!!!!!!!!!!
balandron [24]
I would say the 2nd or 3rd one

4 0
3 years ago
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Rover has dug 4 holes and put b bones in each hole. He finds 5 more bones. How many bones does Rover have?
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